Home / 712-1,090

Finding the Third Proportional to 712 and 1,090

Calculator

Solution

The third proportional to 712 and 1,090 is: 1,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 1,090 = 1,090 : x
  2. Step 2: Convert to fraction form
    712/1,090 = 1,090/x
  3. Step 3: Cross multiply
    712x = 1,090 × 1,090
  4. Step 4: Simplify right side
    712x = 1,188,100
  5. Step 5: Solve for x
    x = 1,188,100/712
  6. Step 6: Final answer
    x = 1,668.68

Related Problems

Find third proportional to 356 and 545
Half scale
Find third proportional to 1,424 and 2,180
Double scale
Find third proportional to 714 and 1,093
Similar ratio
Find third proportional to 1,068 and 1,635
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.